(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

We have

y' = y^(1/3)

with initial condition y(0)=0

It's stated that the partial derivative ∂f/∂y does not exist at y=0.

Can anyone explain to me why this is?

I don't understand how you can take the partial derivative if its not in the form f(x, y);

there is no x.

2. Relevant equations

Solving for y we have

y = ((2/3)[t+c])^(3/2)

if c=o, the initial condition is satisfied

3. The attempt at a solution

help!

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# Homework Help: Partial Derivatives & Differential Equations Help

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